The Rajasthan Board of Secondary Education (RBSE) for Class 7 Maths, which aligns with the NCERT curriculum, features Chapter 10 on Practical Geometry (प्रायोगिक ज्यामिति). This chapter focuses on the basic constructions using a ruler and compass, helping students develop fundamental geometric skills. Here are the key topics and an overview of the solutions for … Read more
Chapter 8, Comparing Quantities (राशियों की तुलना), focuses on using Ratios, Percentages, and applying them to concepts like Profit, Loss, and Simple Interest. Exercise 8.1: Ratios and Percentages This exercise deals with expressing quantities as a ratio and then converting them into percentages. Q. No. Type Example (Step-by-Step Solution) Key Concept 1 Finding Ratio Find … Read more
Chapter 9, Rational Numbers (परिमेय संख्याएँ), extends the number system to include numbers that can be expressed as a ratio of two integers. The rationalized syllabus focuses on the definition, standard form, and basic operations. Exercise 9.1: Introduction and Standard Form This exercise deals with identifying rational numbers and reducing them to their standard form. … Read more
Chapter 7, Congruence of Triangles (त्रिभुजों की सर्वांगसमता), deals with the conditions under which two geometric figures (specifically triangles) are exactly the same size and shape. Note: The rationalized syllabus focuses heavily on the four main criteria. Exercise 7.1: Congruence Criteria This exercise applies the four criteria for proving triangle congruence. Q. No. Type Example/Condition … Read more
Chapter 6, The Triangle and Its Properties (त्रिभुज और उसके गुण), explores the basic elements and fundamental properties of triangles, including medians, altitudes, and important angle theorems. Exercise 6.1: Medians and Altitudes This exercise focuses on the different lines associated with a triangle. Q. No. Type Example/Concept Key Concept 1 Identification In $\triangle PQR$, $D$ … Read more
Chapter 5, Lines and Angles (रेखाएँ और कोण), introduces key relationships between lines and angles, including complementary, supplementary, and angles formed by a transversal. Exercise 5.1: Pairs of Angles This exercise deals with basic angle relationships like Complementary, Supplementary, and Adjacent Angles. Q. No. Type Example (Step-by-Step Solution) Key Concept 1 Complementary Angle Find the … Read more
Chapter 3, Data Handling (आँकड़ों का प्रबंधन), teaches students how to organize, represent, and interpret data using measures of central tendency (Mean, Median, Mode) and probability. Exercise 3.1: Mean (Average) This exercise introduces the Arithmetic Mean. Q. No. Type Example (Step-by-Step Solution) Key Concept 1 Finding Mean Find the mean of the first five whole … Read more
Chapter 4, Simple Equations (सरल समीकरण), introduces students to variables and the process of setting up and solving linear equations with one variable. Exercise 4.1: Setting up Equations This exercise focuses on translating statements into algebraic equations. Q. No. Statement Mathematical Expression/Equation Key Concept 1 The sum of $x$ and 4 is 9. $x + … Read more
Chapter 2 covers Fractions (भिन्न) and Decimals (दशमलव), focusing on their multiplication and division as per the rationalized syllabus. Exercise 2.1 & 2.2: Multiplication of Fractions These exercises deal with finding products of fractions, including mixed fractions. Q. No. Type Example (Step-by-Step Solution) Key Concept 1 Fraction $\times$ Whole Find: $\frac{3}{5}$ of 15Solution: $\frac{3}{5} \times … Read more
Chapter 1, Integers (पूर्णांक), is fundamental to Class 7 Maths and covers the operations and properties of positive and negative whole numbers, including zero. The solutions below follow the structure of the latest rationalized syllabus for the Rajasthan Board (RBSE), which aligns with the NCERT textbook. Exercise 1.1: Introduction to Integers This exercise deals with … Read more